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Hirsch's dynamic Hubbard model describes the effect of orbital expansion with occupancy by coupling the doublon operator to an auxiliary boson. We use the nonequilibrium dynamical mean field method to study the properties of doublon and…

Strongly Correlated Electrons · Physics 2015-11-16 Philipp Werner , Martin Eckstein

Interactions between particles normally induce the decay of the particles Bloch oscillations (BOs) in a periodic lattice. In the limit of strong on-site interactions, spin-$1/2$ fermions may form doublon bound states and undergo BOs in the…

Quantum Gases · Physics 2024-11-15 Kun-Liang Zhang , Xun-Da Jiang , Yong-Yao Li

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

The coherent mobility of doublons, arising from second-order virtual dissociation-recombination processes, fundamentally limits their use as information carriers in the strongly interacting Bose-Hubbard model. We propose a disorder-free…

Quantum Gases · Physics 2026-05-21 Zhen-Ting Bao , Kai Xu , Heng Fan

Using Floquet dynamical mean-field theory, we study the high-harmonic generation in the time-periodic steady states of wide-gap Mott insulators under AC driving. In the strong-field regime, the harmonic intensity exhibits multiple plateaus,…

Strongly Correlated Electrons · Physics 2018-08-06 Yuta Murakami , Martin Eckstein , Philipp Werner

The Hubbard model is used to study an electronic system at half filling. Starting from a functional integral representation the spin-up Grassmann field is integrated out. It is shown that the resulting spinless fermion theory has an…

Strongly Correlated Electrons · Physics 2007-05-23 Klaus Ziegler

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…

Recent experiments performed on cuprates and alkali-doped fullerides have demonstated that key signatures of superconductivity can be induced above the equilibrium critical temperature by optical modulation. These observations in disparate…

Quantum Gases · Physics 2017-08-08 J. Coulthard , S. R. Clark , S. Al-Assam , A. Cavalleri , D. Jaksch

It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the…

Statistical Mechanics · Physics 2018-09-19 Takashi Mori

For the Mott insulator state of the Fermi-Hubbard model in the strong-coupling limit, we study the interaction between quasi-particles in the form of doublons and holons. Comparing different methods -- the hierarchy of correlations,…

Strongly Correlated Electrons · Physics 2023-11-08 Friedemann Queisser , Gernot Schaller , Ralf Schützhold

Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic quantum phases. While driven many-body systems are generically expected to absorb energy indefinitely and reach an infinite-temperature state, the rate…

An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces that are not accessible to commonly employed conventional methods. A strategy is…

Quantum Gases · Physics 2021-11-29 Nils Krüger , Martin Holthaus

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

We study the Holstein-Hubbard model at half filling to explore ordered phases including su- perconductivity (SC), antiferromagnetism (AF), and charge order (CO) in situations where the electron-electron and electron-phonon interactions are…

Strongly Correlated Electrons · Physics 2015-06-16 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

Quantum Gases · Physics 2015-09-25 André Eckardt , Egidijus Anisimovas

Two fermions occupying the same site of a lattice model with strongly repulsive Hubbard-type interaction U form a doublon, a long-living excitation the decay of which is suppressed because of energy conservation. By means of an…

Quantum Gases · Physics 2012-05-16 Felix Hofmann , Michael Potthoff

Single- and many-electron calculations and related dynamics are presented for a dimer and small Hubbard clusters. Floquet-Bloch picture for a periodic dimer is discussed with regard to the time dependence of the Peierls gap and the…

Strongly Correlated Electrons · Physics 2021-04-21 Gayanath W. Fernando , R. Matthias Geilhufe , Adil-Gerai Kussow , W. Wasanthi P. De Silva

Motivated by cold atom and ultra-fast pump-probe experiments we study the melting of long-range antiferromagnetic order of a perfect N\'eel state in a periodically driven repulsive Hubbard model. The dynamics is calculated for a Bethe…

Strongly Correlated Electrons · Physics 2017-10-25 Juan Jose Mendoza-Arenas , Fernando Javier Gomez-Ruiz , Martin Eckstein , Dieter Jaksch , Stephen R. Clark

We propose a method to study the time evolution of correlated electrons driven by an harmonic perturbation. Combining Floquet formalism to include the time-dependent field and Cluster Perturbation Theory to solve the many-body problem in…

Strongly Correlated Electrons · Physics 2016-10-19 M. Puviani , F. Manghi

We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Samudra Sur , Diptiman Sen